The Event Horizon and Dirac's Sea

Dirac's Sea is described as an infinite sea of filled negative energy states. Dirac produced this idea following his formation of the original Dirac Equation, which required the inclusion of negative and positive energy.

From the Event Horizon of a black hole spacetime is so warped that singularities can appear to extend to infinite distances. All the known laws of physics appear to break down at this boundary.

Is it possible that Dirac's Sea could have a visible boundary as the Event Horizon of a Black Hole?